Open AccessInclusion relations between the statistical convergence and strong summability
Author(s) -
Enno Kolk
Publication year - 1998
Publication title -
acta et commentationes universitatis tartuensis de mathematica./acta et commentationes universitatis tartuensis de mathematica
Language(s) - English
Resource type - Journals
eISSN - 2228-4699
pISSN - 1406-2283
DOI - 10.12697/acutm.1998.02.07
Subject(s) - mathematics , banach space , sequence (biology) , inclusion (mineral) , convergence (economics) , space (punctuation) , pure mathematics , sequence space , computer science , physics , thermodynamics , genetics , economics , biology , operating system , economic growth
For a sequential method of summability B we define B-density and B-statistical convergence in a Banach space X, and investigate inclusion relations between the space of B-statistically convergent sequences and the space of strongly B-summable sequences with respect to a sequence of modulus functions F=(fk). As an application, two theorems of Pehlivan and Fisher [27] are corrected.